- Home
- Standard 11
- Mathematics
Mathematical Reasoning
easy
The negation of the compound proposition $p \vee (\sim p \vee q)$ is
A
$(p\; \wedge \sim q)\; \wedge \sim p$
B
$(p\; \wedge \sim q)\; \vee \sim p$
C
$(p\; \vee \sim q)\; \vee \sim p$
D
None of these
Solution
(a) $\sim [p \vee (\sim p \vee q)] \equiv \,\sim p\; \wedge \sim (\sim p \vee q)$
$ \equiv \;\sim p \wedge (\sim (\sim p)\; \wedge \sim q)$
$ \equiv \sim p \wedge (p\; \wedge \sim q)$.
Standard 11
Mathematics
